The soliton and other solitary wave solutions of the equations are obtained in this research paper using the modified auxiliary equation approach. It enhances the auxiliary equation method. This ...

3. Comparison with Other Algorithms Applications of the DTS (direct Taylor series) method, as well as other common algorithms, to numerical solutions of first-order differential equations are ...

Discover the analytical solutions to the Riccati Equation through variable changes and Differential Transform. Explore its applications in Quantum Mechanics and Physics.

Chien-Cheng Chang, Numerical Solution of Stochastic Differential Equations with Constant Diffusion Coefficients, Mathematics of Computation, Vol. 49, No. 180 (Oct., 1987), pp. 523-542 ...

Keywords: epidemic modeling, degenerate differential equations, SIS-PDE model, weak solutions, Kimura model, steady states, asymptotic behavior, well-posedness Citation: Taranets R, Vasylyeva N and Al ...

In general, the absence of centralized information prevents the best responses of agents from constituting a Nash equilibrium solution. We show that the best responses depending on the unique solution ...